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Finding the Third Proportional to 263,800.88 and 408,733.13

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Solution

The third proportional to 263,800.88 and 408,733.13 is: 633,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,800.88 : 408,733.13 = 408,733.13 : x
  2. Step 2: Convert to fraction form
    263,800.88/408,733.13 = 408,733.13/x
  3. Step 3: Cross multiply
    263,800.88x = 408,733.13 × 408,733.13
  4. Step 4: Simplify right side
    263,800.88x = 167,062,767,472.27
  5. Step 5: Solve for x
    x = 167,062,767,472.27/263,800.88
  6. Step 6: Final answer
    x = 633,291.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.